Technology in Mathematics

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Transcript of Technology in Mathematics

AlGeBrA ILINEar EQuations:AlGeBrA IITranslations& ReflectionsGeometryOutput& Free OnlineComputer Graphing ApplicationsTeachers can utilize Geogebra & Online Graphing Calculators to enhance instructionAnglesTechnology in MathematicsIntegrating Graphing Aides Into Core CurriculumGeogebra.orgSlopes & InterceptsPolygonsParallel LinesPerpendicular LinesD i a l a t i o n sALGEBRA IUnderstanding SLOPECompressionsUsing Geogebra and a pen & tablet to show why the Equation of a slope is :Prepare Ahead In order to Focus on InstructionSlope =riserunorStart with basic concepts to develop uponImages can be toggled on/offTeacher is able to give instruction while providing visuals. Tablet and pen allow instructor to write directly on graphIntercepts :Graphically show how the y-intercept is where the line crosses the y-axis and the x-intercept is where the line crosses the x-axisCoordinates :Geogebra lists the algebraic parts of the graphs (i.e. the coordinates of each of the points A and B)Parallel linesTeachers & Students can use Geogebra to graph parallel lines through given pointsgraph the first line and then select the parallel line optionScroll over the icon for instructions of how to create a new line that is parallel to the firstEquations of the two lines can be viewed in standard or slope-intercept formShows that the slopes of parallel lines are equalPerpendicular Linescreated the same as parallel lines but use the perpendicular lines optionshows that slopes are negative reciprocalspoints & other objects can be color coded to highlight specific items or conceptsGeometryAnglesPolygonsCharacteristics of Regular PolygonstechnologyCirclesIdentifying types of anglesgrid & axes can be toggled on/offpoints & angle size are labeled, color options availableall sides and angles are equalmeasures the angle between 3 pointsText can be entered, sized & moved freelysegments can be placed to show length of sideshttp://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.htmlOnline GRAPHING CALCULATORSCirclesArea & Circumferenceequation of a circle with center & radiusInstruction can show how formulas for area & circumference workGeogebra calculates area & distance (circumference/perimeter)Reflectionsstudents can access online no download neededprovides features that work for many different areas of mathALGEBRA IIParabolasin mathematicsReflections ofy = x2equations listed & color codedtable of x & y values can be alteredTranslations ofshows how graph is shifted right then upy = x2graphs can be toggled on/offnew vertex at (2,3)CompressionsD i a l a t i o n sparabola widensvertex stays at (0,0)graph window size can be adjusted in settingsequations can be changed to see how it affects the graph of y=x2vertex stays at (0,0)Intersection: will find the point where two graphs intersectmultiplying by a positive whole number narrows the parabolay = x2narrowsstudents learn to use the technology in class and then can download/access at home for freeStudents can explore concepts further by manipulating the applications themselvesSELF DISCOVERYEASY ACCESSINSTRUCTIONm =y - y2 1x - x2 1